Solving Literal Equations: Key Concepts and Techniques

The video tutorial covers solving literal equations, which involve multiple variables. It explains how to isolate a specific variable by using opposite operations, such as moving terms across the equal sign and changing operations from multiplication to division or vice versa. The tutorial provides examples of solving for different variables, including X, and discusses using proportions to solve equations. The instructor encourages students to practice and ask questions if needed.

What is a literal equation?

• An equation with multiple variables

• An equation with only one variable

• An equation with only numbers

• An equation with no variables

What is the first step in solving for a variable in a literal equation?

• Multiply all terms by the variable

• Combine like terms

• Move the variable to one side

• Add all constants

If a variable is dividing another variable, what operation should be used to move it to the other side of the equation?

• Division

• Multiplication

• Subtraction

• Addition

When isolating x in a literal equation, what should you do if x is being multiplied by another variable?

• Add the variable to both sides

• Divide both sides by the variable

• Multiply both sides by the variable

• Subtract the variable from both sides

In a more complex literal equation, what should you do first?

• Move the variable furthest from the desired variable

• Add all constants

• Move the variable closest to the desired variable

• Combine all like terms

What happens to a variable when it moves across the equal sign?

• It doubles

• It becomes zero

• It stays the same

• It changes to its opposite operation

What should you do if a variable is being added to the desired variable in a literal equation?

• Multiply both sides by it

• Divide both sides by it

• Subtract it from both sides

• Add it to both sides

When solving a proportion involving variables, what is the first step?

• Divide the numerators

• Subtract the denominators

• Multiply the top of one side by the bottom of the other

• Add the numerators

If x is being multiplied by d in a proportion, what should you do to isolate x?

• Add d to both sides

• Subtract d from both sides

• Multiply both sides by d

• Divide both sides by d

What is the goal when solving for a variable in a literal equation?

• To combine all terms

• To isolate the variable

• To eliminate all variables

• To add all constants